Orthogonal calculus was developed in the 1990s as a tool to study functors from the category of real vector spaces to the category of (based) topological spaces. One inputs a functor F, and the calculus outputs a tower of polynomial approximations of F similar to Taylor’s Theorem in differential calculus. The difference between successive polynomial approximations is a topological space built from the derivatives of the inputted functor and can be studied homotopy theoretically. In this talk, I will introduce several variants of orthogonal calculus, with a view toward some largely unanswered questions about the connections of the calculi and smooth embeddings of manifolds.

Zoom Meeting ID: 916 5855 1117

For password see the email or contact: Arunima Ray or Tobias Barthel.

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